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Finding the Third Proportional to 44,172 and 67,581

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Solution

The third proportional to 44,172 and 67,581 is: 103,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,172 : 67,581 = 67,581 : x
  2. Step 2: Convert to fraction form
    44,172/67,581 = 67,581/x
  3. Step 3: Cross multiply
    44,172x = 67,581 × 67,581
  4. Step 4: Simplify right side
    44,172x = 4,567,191,561
  5. Step 5: Solve for x
    x = 4,567,191,561/44,172
  6. Step 6: Final answer
    x = 103,395.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.